Finding the Third Proportional to 23,772 and 52,080

Step by Step Solution

1. Step 1: Write the proportion equation
   23,772 : 52,080 = 52,080 : x
2. Step 2: Convert to fraction form
   23,772/52,080 = 52,080/x
3. Step 3: Cross multiply
   23,772x = 52,080 × 52,080
4. Step 4: Simplify right side
   23,772x = 2,712,326,400
5. Step 5: Solve for x
   x = 2,712,326,400/23,772
6. Step 6: Final answer
   x = 114,097.53